Bernstein-Nikolskii-Markov-type inequalities for algebraic polynomials in a weighted Lebesgue space

Özkartepe P., Imashkyzy M., ABDULLAYEV F.

Filomat, cilt.37, sa.17, ss.5701-5715, 2023 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 17
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2298/fil2317701o
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5701-5715
  • Anahtar Kelimeler: Algebraic polynomials, Bernstein inequality, Conformal mapping, Markov inequality, Nikolskii inequality, Quasicircle
  • Uşak Üniversitesi Adresli: Hayır

Özet

In this paper, we study Bernstein, Markov and Nikol’skii type inequalities for arbitrary algebraic polynomials with respect to a weighted Lebesgue space, where the contour and weight functions have some singularities on a given contour.